perplexus.info :: Just Math : Minimum Integer

Minimum Integer (Posted on 2014-02-28)

Determine the smallest positive integer whose first 6 multiples (including itself) contain the digit 2.

No Solution Yet Submitted by K Sengupta

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Base solution

Comment 4 of 4 |

Just because I could, I solved this problem for an easier case, namely base 3. In base 3, the solution is 102 (base 3).

The first six multiples are

102 (base 3)

211 (base 3)

1020 (base 3)

1122 (base 3)

2001 (base 3)

2110 (base 3)

102 (base 3) = 11 (base 10)

Posted by Steve Herman on 2014-02-28 14:01:34

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